Finite Group Databasebeta

← C2×#60293 #10574400

Subgroups — C2×#60293 #10574400

Order 512.

6418 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3444C211yesmaximal, characteristic
2#60293C2132yesmaximal, direct product factor
3C2×#2990C214yesmaximal, complemented
4C2×#2989C214yesmaximal, complemented
5C2×#2987C212yesmaximal, complemented
6C2×#2980C212yesmaximal, complemented
7C2×#2976C214yesmaximal, complemented
8C2×#2968C214yesmaximal, complemented
9C2×#2967C214yesmaximal, complemented
10C2×#2925C214yesmaximal, complemented
11C2×#2920C211yesmaximal, characteristic, complemented
12C22×#432C211yesmaximal, characteristic, complemented
13#3444C4116yes—
14#3444C22116yes—
15C2×#533C411yescharacteristic
16C2×#533C411yescharacteristic
17C2×#533C2211yescharacteristic
18C2×#532C411yescharacteristic
19C2×#532C411yescharacteristic
20C2×#532C2211yescharacteristic
21C2×#529C412yes—
22C2×#529C412yes—
23C2×#529C412yes—
24C2×#529C412yes—
25C2×#529C2212yes—
26C2×#529C2212yes—
27C2×#525C412yes—
28C2×#525C412yes—
29C2×#525C2212yes—
30C2×C4×#41C2212yes—
31C2×C4×#41C2212yes—
32C2×C4×#41C2212yes—
33C23×C42C2211yescharacteristic
34#2990C22164yescomplemented
35#2989C22164yescomplemented
36#2987C22132yescomplemented
37#2980C22132yescomplemented
38#2976C22164yescomplemented
39#2968C22164yescomplemented
40#2967C22164yescomplemented
41C2×#446C2218yescomplemented
42C2×#446C2218yescomplemented
43C2×#436C2218yes—
44C2×#435C2218yes—
45C2×#435C2218yes—
46C2×#435C2218yescomplemented
47C2×#435C2218yescomplemented
48C2×C8×D4C2218yes—
49#2925C22164yescomplemented
50#2920C22116yescomplemented
51C2×#433C2218yes—
52C2×#433C2218yescomplemented
53C2×#432C2212yes—
54C2×#432C2212yes—
55C2×#432C2212yes—
56C2×#432C2212yes—
57C2×#432C2212yes—
58C2×#432C2212yes—
59C2×#432C22116yescomplemented
60C2×#432C2214yescomplemented
61C2×#431C2212yes—
62C2×#431C2212yes—
63C2×#431C2214yescomplemented
64C2×#423C2212yes—
65C2×#423C2214yescomplemented
66C22×C4⋊C8C2212yes—
67C22×C4⋊C8C2214yescomplemented
68C2×#408C2218yes—
69C2×#407C2212yes—
70C22×C22⋊C8C2212yes—
71C2×#405C2218yescomplemented
72C2×C4×M16C2212yes—
73C22×#97C2212yes—
74C22×#41C2×C412yes—
75C22×#41C2×C412yes—
76C22×#41C2312yes—
77C24×C4C2×C411yescharacteristic
78C24×C4C2×C411yescharacteristic
79C24×C4C2311yescharacteristic
80C22×M16C2314yes—
81C22×M16C2318yes—
82C23×C8C2314yes—
83C23×C8C2318yes—
84#533C2×C4116yes—
85#533C2×C4116yes—
86#533C2×C418yes—
87#533C2318yes—
88#532C2×C4116yes—
89#532C2×C4116yes—
90#532C2×C418yes—
91#532C2318yes—
92C2×C4⋊Q8C2×C411yescharacteristic
93C2×C4⋊Q8C2×C411yescharacteristic
94C2×C4⋊Q8C2×C411yescharacteristic
95C2×#127C2×C411yescharacteristic
96#529C2×C4132yes—
97#529C2×C4132yes—
98#529C2×C4132yes—
99#529C2×C4132yes—
100#529C2×C4116yes—
101#529C2×C4116yes—
102#529C23116yes—
103#529C23116yes—
104C2×#126C2×C414yes—
105C2×#126C2×C414yes—
106C2×#125C2×C412yes—
107C2×#125C2×C412yes—
108C2×#125C2×C412yes—
109C2×#124C2×C412yes—
110C2×#124C2×C412yes—
111C2×#124C2×C412yes—
112#525C2×C4132yes—
113#525C2×C4132yes—
114#525C2×C4116yes—
115#525C23116yes—
116C2×#123C2×C414yes—
117C2×#123C2×C414yes—
118C2×#123C2×C414yes—
119C2×C22⋊Q8C2×C412yes—
120C2×C22⋊Q8C2×C412yes—
121C2×C22⋊Q8C2×C412yes—
122C2×C22⋊Q8C2×C412yes—
123C2×C22⋊Q8C2×C412yes—
124C2×C22⋊Q8C2×C412yes—
125C2×#121C2×C412yes—
126C2×#121C2×C412yes—
127C2×#121C2×C412yes—
128C2×#121C2×C412yes—
129C2×#121C2×C412yes—
130C2×#121C2×C412yes—
131C2×#120C2×C414yes—
132C4×#41C2×C4116yes—
133C4×#41C2×C4116yes—
134C4×#41C2×C4116yes—
135C4×#41C23116yes—
136C4×#41C23116yes—
137C4×#41C23116yes—
138C2×C4×Q8C2×C412yes—
139C2×C4×Q8C2×C412yes—
140C2×C4×Q8C2×C412yes—
141C2×C4×Q8C2×C412yes—
142C2×C4×Q8C2312yes—
143C2×C4×Q8C2312yes—
144C2×C4×D4C2×C414yes—
145C2×C4×D4C2×C414yes—
146C2×C4×D4C2×C414yes—
147C2×C4×D4C2×C414yes—
148C2×C4×D4C2×C412yes—
149C2×C4×D4C2×C412yes—
150C2×C4×D4C2×C412yes—
151C2×C4×D4C2×C412yes—
152C2×C4×D4C2314yes—
153C2×C4×D4C2314yes—
154C2×C4×D4C2312yes—
155C2×C4×D4C2312yes—
156C2×#117C2×C412yes—
157C2×#117C2×C412yes—
158C2×#117C2×C414yes—
159C2×#117C2×C414yes—
160C2×#117C2314yes—
161C2×#117C2312yes—
162C22×C42C2×C411yescharacteristic
163C22×C42C2×C411yescharacteristic
164C22×C42C2×C411yescharacteristic
165C22×C42C2×C411yescharacteristic
166C22×C42C2×C411yescharacteristic
167C22×C42C2×C411yescharacteristic
168C22×C42C2×C418yes—
169C22×C42C2311yescharacteristic
170C22×C42C2311yescharacteristic
171C22×C42C2311yescharacteristic
172C22×C42C2314yes—
173C22×C42C2311yescharacteristic
174C22×C42C2311yescharacteristic
175C22×C42C2311yescharacteristic
176C22×C42C2318yes—
177#446C23164yescomplemented
178#446C23164yescomplemented
179#436C23164yes—
180#435C23164yes—
181#435C23164yes—
182#435C23164yescomplemented
183#435C23164yescomplemented
184C8×D4C23164yes—
185#433C23164yes—
186#433C23164yescomplemented
187#432C23116yes—
188#432C23116yes—
189#432C23116yes—
190#432C23116yes—
191#432C23116yes—
192#432C23116yes—
193#432C23132yescomplemented
194#431C23116yes—
195#431C23116yes—
196#431C23132yescomplemented
197#423C23116yes—
198#423C23132yescomplemented
199C2×C4⋊C8C2314yes—
200C2×C4⋊C8C2314yes—
201C2×C4⋊C8C23116yes—
202C2×C4⋊C8C2314yes—
203C2×C4⋊C8C2318yes—
204C2×C4⋊C8C2314yes—
205C2×C4⋊C8C2318yes—
206C2×C4⋊C8C23132yescomplemented
207#408C23164yes—
208#407C23116yes—
209C2×C22⋊C8C2314yes—
210C2×C22⋊C8C2314yes—
211C2×C22⋊C8C23116yes—
212C2×C22⋊C8C2314yes—
213C2×C22⋊C8C2314yes—
214C2×C22⋊C8C2318yes—
215C2×C22⋊C8C2318yes—
216#405C23164yescomplemented
217C4×M16C23116yes—
218C2×#97C2314yes—
219C2×#97C2314yes—
220C2×#97C23116yes—
221C2×#97C2314yes—
222C2×#97C2318yes—
223C2×C4×C8C2314yes—
224C2×C4×C8C2318yes—
225C25C22×C411yescharacteristic
226C2×#41—48no—
227C2×#41—44no—
228C2×#41—44no—
229C2×#41—48no—
230C2×#41C22×C418yes—
231C2×#41C22×C4116yes—
232C2×#41C22×C4116yes—
233C2×#41C2418yes—
234C22×Q8C22×C412yes—
235C22×Q8C22×C412yes—
236C22×Q8C22×C412yes—
237C22×D4C22×C414yes—
238C22×D4C22×C414yes—
239C22×D4C22×C412yes—
240C22×D4C22×C414yes—
241C22×D4C22×C412yes—
242C22×D4C22×C412yes—
243C23×C4—44no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4C22×C411yescharacteristic
247C23×C4C22×C411yescharacteristic
248C23×C4C22×C414yes—
249C23×C4C22×C411yescharacteristic
250C23×C4C22×C411yescharacteristic
251C23×C4C22×C411yescharacteristic
252C23×C4C22×C414yes—
253C23×C4C22×C411yescharacteristic
254C23×C4C22×C411yescharacteristic
255C23×C4C22×C411yescharacteristic
256C23×C4C22×C411yescharacteristic
257C23×C4C22×C411yescharacteristic
258C23×C4C22×C411yescharacteristic
259C23×C4C22×C411yescharacteristic
260C23×C4C22×C411yescharacteristic
261C23×C4C22×C411yescharacteristic
262C23×C4C22×C411yescharacteristic
263C23×C4C22×C418yes—
264C23×C4C22×C418yes—
265C23×C4C22×C414yes—
266C23×C4C2411yescharacteristic
267C23×C4C2414yes—
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C23×C4C2414yes—
271C2×M16—416no—
272C2×M16—48no—
273C2×M16C24116yes—
274C2×M16C24132yes—
275C22×C8—48no—
276C22×C8—416no—
277C22×C8C2418yes—
278C22×C8C2418yes—
279C22×C8C24116yes—
280C22×C8C24132yes—
281C4⋊Q8C22×C418yes—
282C4⋊Q8C22×C418yes—
283C4⋊Q8C22×C418yes—
284#127C22×C418yes—
285#126C22×C4132yes—
286#126C22×C4132yes—
287#125C22×C4116yes—
288#125C22×C4116yes—
289#125C22×C4116yes—
290#124C22×C4116yes—
291#124C22×C4116yes—
292#124C22×C4116yes—
293#123C22×C4132yes—
294#123C22×C4132yes—
295#123C22×C4132yes—
296C22⋊Q8C22×C4116yes—
297C22⋊Q8C22×C4116yes—
298C22⋊Q8C22×C4116yes—
299C22⋊Q8C22×C4116yes—
300C22⋊Q8C22×C4116yes—
301C22⋊Q8C22×C4116yes—
302#121C22×C4116yes—
303#121C22×C4116yes—
304#121C22×C4116yes—
305#121C22×C4116yes—
306#121C22×C4116yes—
307#121C22×C4116yes—
308#120C22×C4132yes—
309C4×Q8C22×C4116yes—
310C4×Q8C22×C4116yes—
311C4×Q8C22×C4116yes—
312C4×Q8C22×C4116yes—
313C4×Q8C22×C418yes—
314C4×Q8C22×C418yes—
315C4×Q8C2418yes—
316C4×Q8C2418yes—
317C4×D4C22×C4132yes—
318C4×D4C22×C4132yes—
319C4×D4C22×C4132yes—
320C4×D4C22×C4132yes—
321C4×D4C22×C4116yes—
322C4×D4C22×C4116yes—
323C4×D4C22×C4116yes—
324C4×D4C22×C4116yes—
325C4×D4C22×C4116yes—
326C4×D4C22×C4116yes—
327C4×D4C22×C418yes—
328C4×D4C22×C418yes—
329C4×D4C24116yes—
330C4×D4C24116yes—
331C4×D4C2418yes—
332C4×D4C2418yes—
333#117C22×C4116yes—
334#117C22×C4116yes—
335#117C22×C4132yes—
336#117C22×C4132yes—
337#117C22×C418yes—
338#117C22×C4116yes—
339#117C2418yes—
340#117C24116yes—
341C2×C4⋊C4C22×C412yes—
342C2×C4⋊C4C22×C412yes—
343C2×C4⋊C4C22×C414yes—
344C2×C4⋊C4C22×C414yes—
345C2×C4⋊C4C22×C412yes—
346C2×C4⋊C4C22×C412yes—
347C2×C4⋊C4C22×C414yes—
348C2×C4⋊C4C22×C414yes—
349C2×C4⋊C4C22×C412yes—
350C2×C4⋊C4C22×C412yes—
351C2×C4⋊C4C22×C414yes—
352C2×C4⋊C4C22×C414yes—
353C2×C22⋊C4C22×C414yes—
354C2×C22⋊C4C22×C414yes—
355C2×C22⋊C4C22×C414yes—
356C2×C22⋊C4C22×C414yes—
357C2×C22⋊C4C22×C414yes—
358C2×C22⋊C4C22×C414yes—
359C2×C22⋊C4C22×C414yes—
360C2×C22⋊C4C22×C414yes—
361C2×C22⋊C4C22×C414yes—
362C2×C42C22×C411yescharacteristic
363C2×C42C22×C411yescharacteristic
364C2×C42C22×C414yes—
365C2×C42C22×C414yes—
366C2×C42C22×C411yescharacteristic
367C2×C42C22×C411yescharacteristic
368C2×C42C22×C411yescharacteristic
369C2×C42C22×C411yescharacteristic
370C2×C42C22×C4116yes—
371C2×C42C22×C414yes—
372C2×C42C22×C414yes—
373C2×C42C22×C414yes—
374C2×C42C22×C411yescharacteristic
375C2×C42C22×C411yescharacteristic
376C2×C42C22×C411yescharacteristic
377C2×C42C22×C411yescharacteristic
378C2×C42C22×C411yescharacteristic
379C2×C42C22×C414yes—
380C2×C42C22×C414yes—
381C2×C42C22×C418yes—
382C2×C42C22×C418yes—
383C2×C42C22×C418yes—
384C2×C42C22×C418yes—
385C2×C42C22×C411yescharacteristic
386C2×C42C22×C414yes—
387C2×C42C22×C418yes—
388C2×C42C22×C418yes—
389C2×C42C24116yes—
390C2×C42C2414yes—
391C2×C42C2414yes—
392C2×C42C2414yes—
393C2×C42C2414yes—
394C2×C42C2414yes—
395C2×C42C2414yes—
396C2×C42C2411yescharacteristic
397C2×C42C2414yes—
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C4⋊C8C24116yes—
402C4⋊C8C24116yes—
403C4⋊C8C24116yes—
404C4⋊C8C24132yes—
405C4⋊C8C24116yes—
406C4⋊C8C24132yes—
407C22⋊C8C24116yes—
408C22⋊C8C24116yes—
409C22⋊C8C24116yes—
410C22⋊C8C24116yes—
411C22⋊C8C24132yes—
412C22⋊C8C24132yes—
413#97C24116yes—
414#97C24116yes—
415#97C24116yes—
416#97C24132yes—
417C4×C8C24116yes—
418C4×C8C24132yes—
419C24—24no—
420C24—42no—
421C24—42no—
422C24C23×C414yes—
423C24C23×C411yescharacteristic
424C24C23×C411yescharacteristic
425C24C23×C411yescharacteristic
426C24C23×C414yes—
427#41—416no—
428#41—432no—
429#41—48no—
430#41—48no—
431#41—432no—
432C2×Q8—44no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8C23×C418yes—
436C2×Q8C23×C418yes—
437C2×Q8C23×C418yes—
438C2×D4—216no—
439C2×D4—44no—
440C2×D4—48no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—48no—
444C2×D4C23×C4116yes—
445C2×D4C23×C4116yes—
446C2×D4C23×C418yes—
447C2×D4C23×C4116yes—
448C2×D4C23×C418yes—
449C2×D4C23×C418yes—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—216no—
456C22×C4—24no—
457C22×C4—28no—
458C22×C4—24no—
459C22×C4—28no—
460C22×C4—24no—
461C22×C4—48no—
462C22×C4—416no—
463C22×C4—48no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—416no—
475C22×C4—48no—
476C22×C4C23×C411yescharacteristic
477C22×C4C23×C411yescharacteristic
478C22×C4C23×C411yescharacteristic
479C22×C4C23×C411yescharacteristic
480C22×C4C23×C412yes—
481C22×C4C23×C412yes—
482C22×C4C23×C412yes—
483C22×C4C23×C411yescharacteristic
484C22×C4C23×C411yescharacteristic
485C22×C4C23×C411yescharacteristic
486C22×C4C23×C411yescharacteristic
487C22×C4C23×C411yescharacteristic
488C22×C4C23×C411yescharacteristic
489C22×C4C23×C414yes—
490C22×C4C23×C414yes—
491C22×C4C23×C414yes—
492C22×C4C23×C414yes—
493C22×C4C23×C414yes—
494C22×C4C23×C414yes—
495C22×C4C23×C418yes—
496C22×C4C23×C414yes—
497C22×C4C23×C414yes—
498C22×C4C23×C4116yes—
499C22×C4C23×C414yes—
500C22×C4C23×C414yes—
501C22×C4C23×C414yes—
502C22×C4C23×C414yes—
503C22×C4C23×C414yes—
504C22×C4C23×C414yes—
505C22×C4C23×C414yes—
506C22×C4C23×C414yes—
507C22×C4C23×C414yes—
508C22×C4C23×C414yes—
509C22×C4C23×C4116yes—
510C22×C4C23×C411yescharacteristic
511C22×C4C2512yes—
512C22×C4C2512yes—
513C22×C4C2512yes—
514C22×C4C2518yes—
515C22×C4C2511yescharacteristic
516M16—432no—
517M16—416no—
518C2×C8—216no—
519C2×C8—216no—
520C2×C8—416no—
521C2×C8—432no—
522C2×C8C25116yes—
523C2×C8C25116yes—
524C4⋊C4C23×C418yes—
525C4⋊C4C23×C418yes—
526C4⋊C4C23×C4116yes—
527C4⋊C4C23×C4116yes—
528C4⋊C4C23×C418yes—
529C4⋊C4C23×C418yes—
530C4⋊C4C23×C4116yes—
531C4⋊C4C23×C4116yes—
532C4⋊C4C23×C418yes—
533C4⋊C4C23×C418yes—
534C4⋊C4C23×C4116yes—
535C4⋊C4C23×C4116yes—
536C22⋊C4C23×C4116yes—
537C22⋊C4C23×C4116yes—
538C22⋊C4C23×C4116yes—
539C22⋊C4C23×C4116yes—
540C22⋊C4C23×C4116yes—
541C22⋊C4C23×C4116yes—
542C22⋊C4C23×C4116yes—
543C22⋊C4C23×C4116yes—
544C22⋊C4C23×C4116yes—
545C42C23×C412yes—
546C42C23×C414yes—
547C42C23×C414yes—
548C42C23×C412yes—
549C42C23×C414yes—
550C42C23×C414yes—
551C42C23×C414yes—
552C42C23×C414yes—
553C42C23×C412yes—
554C42C23×C412yes—
555C42C23×C414yes—
556C42C23×C414yes—
557C42C23×C414yes—
558C42C23×C414yes—
559C42C23×C414yes—
560C42C23×C414yes—
561C42C23×C4116yes—
562C42C23×C4116yes—
563C42C23×C418yes—
564C42C2512yes—
565C42C2518yes—
566C42C2512yes—
567C42C2512yes—
568C42C2512yes—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—28no—
574C23—22no—
575C23—22no—
576C23—28no—
577C23—28no—
578C23—22no—
579C23—22no—
580C23—28no—
581C23—44no—
582C23—44no—
583C23—416no—
584C23#56814yes—
585C23C24×C418yes—
586C23C24×C412yes—
587C23C24×C412yes—
588C23C24×C412yes—
589C23C24×C411yescharacteristic
590Q8—48no—
591Q8—48no—
592Q8—48no—
593D4—232no—
594D4—48no—
595D4—48no—
596D4—416no—
597D4—48no—
598D4—416no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—28no—
603C2×C4—22no—
604C2×C4—28no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—28no—
613C2×C4—28no—
614C2×C4—24no—
615C2×C4—28no—
616C2×C4—24no—
617C2×C4—28no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—216no—
623C2×C4—28no—
624C2×C4—28no—
625C2×C4—28no—
626C2×C4—232no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—416no—
638C2×C4#56814yes—
639C2×C4C24×C412yes—
640C2×C4C24×C412yes—
641C2×C4C24×C412yes—
642C2×C4C24×C412yes—
643C2×C4C24×C412yes—
644C2×C4C24×C412yes—
645C2×C4C24×C412yes—
646C2×C4C24×C412yes—
647C2×C4C24×C412yes—
648C2×C4C24×C412yes—
649C2×C4C24×C418yes—
650C2×C4C24×C418yes—
651C2×C4C24×C418yes—
652C2×C4C24×C411yescharacteristic
653C2×C4C24×C412yes—
654C2×C4#58514yes—
655C2×C4C2611yescharacteristic
656C8—216no—
657C8—216no—
658C22—22no—
659C22—28no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—28no—
664C22—22no—
665C22—22no—
666C22—28no—
667C22—22no—
668C22—22no—
669C22—28no—
670C22—416no—
671C22—416no—
672C22—44no—
673C22—44no—
674C22#342812yes—
675C22C2×#56814yes—
676C22C2×#56812yes—
677C22C2×#56812yes—
678C22C25×C411yescharacteristic
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—28no—
687C4—28no—
688C4—22no—
689C4—22no—
690C4—22no—
691C4—28no—
692C4#342812yes—
693C4C2×#56814yes—
694C4C2×#58512yes—
695C2—24no—
696C2—48no—
697C2—42no—
698C2—42no—
699C2#6029314yesdirect product factor
700C2C2×#342811yescharacteristic
701C2C22×#56811yescharacteristic
702C2C22×#56811yescharacteristic
subgroupG/H
centerC22×C4C25
commutatorC22C25×C4
Frattini, cosocleC2×C4C26
socleC23C24×C4
prime radicalC2×#3444C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #60293C2direct (N × H)
3. C2×#2990C2semidirect
4. C2×#2989C2semidirect
5. C2×#2987C2semidirect
6. C2×#2980C2semidirect
7. C2×#2976C2semidirect
8. C2×#2968C2semidirect
9. C2×#2967C2semidirect
10. C2×#2925C2semidirect
11. C2×#2920C2semidirect
12. C22×#432C2semidirect
34. #2990C22semidirect
35. #2989C22semidirect
36. #2987C22semidirect
37. #2980C22semidirect
38. #2976C22semidirect
39. #2968C22semidirect
40. #2967C22semidirect
41. C2×#446C22semidirect
42. C2×#446C22semidirect
46. C2×#435C22semidirect
47. C2×#435C22semidirect
49. #2925C22semidirect
50. #2920C22semidirect
52. C2×#433C22semidirect
59. C2×#432C22semidirect
60. C2×#432C22semidirect
63. C2×#431C22semidirect
65. C2×#423C22semidirect
67. C22×C4⋊C8C22semidirect
71. C2×#405C22semidirect
177. #446C23semidirect
178. #446C23semidirect
182. #435C23semidirect
183. #435C23semidirect
186. #433C23semidirect
193. #432C23semidirect
196. #431C23semidirect
198. #423C23semidirect
206. C2×C4⋊C8C23semidirect
216. #405C23semidirect
699. C2#60293direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#34442
#602932
C2×#29902
C2×#29892
C2×#29872
C2×#29802
C2×#29762
C2×#29682
C2×#29672
C2×#29252
C2×#29202
C22×#4322